Demonstrating against Dasburma for his alleged involvement in the chit fund scam, the BJP workers had earlier threatened to protest his visit to the city.
The minister was here to attend a function at the Bhubanananda School of Engineering on the occasion of World Youth Skill Day.
When the minister's car was entering the school campus, a group of BJP youth leaders suddenly appeared from behind a wall and waved black flags at his car asking him to go back.
Cuttack BJP Yuva Morcha chief S R Mitra, vice president Asutosh Das and another youth leader Satyaban Das were taken into preventive custody and were detained at the local Mangalabag police station from where they were released on PR bonds after the minister left the city in the afternoon.